Hardware-efficient autonomous quantum memory protection.

By Zaki Leghtas, G. Kirchmair, B. Vlastakis, Robert J. Schoelkopf, Michel H. Devoret, Mazyar Mirrahimi. Physical Review Letters, 2012

294 citations recorded by the source corpus.

We propose to encode a quantum bit of information in a superposition of coherent states of an oscillator, with four different phases. Our encoding in a single cavity mode, together with a protection protocol, significantly reduces the error rate due to photon loss. This protection is ensured by an efficient quantum error correction scheme employing the nonlinearity provided by a single physical qubit coupled to the cavity. We describe in detail how to implement these operations in a circuit quantum electrodynamics system. This proposal directly addresses the task of building a hardware-efficient quantum memory and can lead to important shortcuts in quantum computing architectures.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/01c815135c63fa8d4deec8e24ca62c544f952c1d

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Dynamically protected cat-qubits: a new paradigm for universal quantum computation (2013, unknown): “In order to show that the Kerr effect can be applied in a fault-tolerant manner to perform such a single-qubit operation, we apply some of the arguments of the supplemental material of [1].”
Widely Tunable On-Chip Microwave Circulator for Superconducting Quantum Circuits (2017, background): “1 For example, some researchers in the field of superconducting circuits use microwave resonators as the memory elements, and construct the computational basis {|0〉 = |α〉 + |−α〉 , |1〉 = |iα〉 + |−iα〉} with even superpositions of coherent states |α〉—so-called cat codes [34], named for the cat states [”
New class of quantum error-correcting codes for a bosonic mode (2016, methodology): “This can be achieved using a discrete unitary correction operation (analogous to the binomial codes) or continuous nonlinear amplification coming from an engineered reservoir [17,18] (analogous to similar passive or autonomous error-correction schemes [94,95]).”
Performance and structure of single-mode bosonic codes (2017, methodology): “[15, 27], followed by investigations into cat(S ≥ 2) and qudit extensions [46, 88, 89].”
Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer (2020, background): “Examples of bosonic codes include GKP [20], dual-rail [3, 54], cat [55, 56], hypercat [57, 58], binomial [59], and general rotation-symmetric codes [60].”
Quantum error correction for quantum memories (2013, unknown): “Leghtas et al. (2013) and Mirrahimi et al. (2013) proposed the interaction of super-conducting qubits coupled to 2D or 3D microwave cavities (circuit QED) to be used for encoding, correction, and decoding of such cat states while Sun et al. (2014) showed how this was done in an experiment.”